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21101222022100 = 225211132171451383
BaseRepresentation
bin1001100110001000000101…
…10101111100101111010100
32202201020221102222102120021
410303010002311330233110
510231210300314201400
6112513433443514524
74305340644535033
oct463040265745724
982636842872507
1021101222022100
1167a5a837a6350
122449684688a44
13ba0ab52c40bc
1452d439b4871a
15268d57c7271a
hex133102d7cbd4

21101222022100 has 72 divisors (see below), whose sum is σ = 49956161226048. Its totient is φ = 7672585804800.

The previous prime is 21101222022011. The next prime is 21101222022109. The reversal of 21101222022100 is 122022210112.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21101222022109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13813009 + ... + 15264391.

It is an arithmetic number, because the mean of its divisors is an integer number (693835572584).

Almost surely, 221101222022100 is an apocalyptic number.

21101222022100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21101222022100 is an abundant number, since it is smaller than the sum of its proper divisors (28854939203948).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21101222022100 is a wasteful number, since it uses less digits than its factorization.

21101222022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1464625 (or 1464618 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 21101222022100 its reverse (122022210112), we get a palindrome (21223244232212).

The spelling of 21101222022100 in words is "twenty-one trillion, one hundred one billion, two hundred twenty-two million, twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 13217 26434 52868 66085 132170 145387 264340 290774 330425 581548 660850 726935 1321700 1451383 1453870 2902766 2907740 3634675 5805532 7256915 7269350 14513830 14538700 15965213 29027660 31930426 36284575 63860852 72569150 79826065 145138300 159652130 319304260 399130325 798260650 1596521300 19182929111 38365858222 76731716444 95914645555 191829291110 211012220221 383658582220 422024440442 479573227775 844048880884 959146455550 1055061101105 1918292911100 2110122202210 4220244404420 5275305505525 10550611011050 21101222022100