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102021102122200 = 2352682277476593
BaseRepresentation
bin10111001100100110100011…
…100011010011010011011000
3111101020010022000112020221021
4113030212203203103103120
5101333003204120402300
61000551503003252224
730326532005546422
oct2714464343232330
9441203260466837
10102021102122200
112a5639a7510778
12b53845881a074
1344c07194c9851
141b29bc20b9812
15bbdc0a16cd1a
hex5cc9a38d34d8

102021102122200 has 48 divisors (see below), whose sum is σ = 237202570775880. Its totient is φ = 40807837263360.

The previous prime is 102021102122197. The next prime is 102021102122201. The reversal of 102021102122200 is 2221201120201.

It is a happy number.

It is a super-2 number, since 2×1020211021222002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102021102122201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9907104 + ... + 17383696.

Almost surely, 2102021102122200 is an apocalyptic number.

102021102122200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102021102122200 is an abundant number, since it is smaller than the sum of its proper divisors (135181468653680).

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

102021102122200 is a wasteful number, since it uses less digits than its factorization.

102021102122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7544836 (or 7544827 counting only the distinct ones).

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

Adding to 102021102122200 its reverse (2221201120201), we get a palindrome (104242303242401).

The spelling of 102021102122200 in words is "one hundred two trillion, twenty-one billion, one hundred two million, one hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 68227 136454 272908 341135 545816 682270 1364540 1705675 2729080 3411350 6822700 7476593 13645400 14953186 29906372 37382965 59812744 74765930 149531860 186914825 299063720 373829650 747659300 1495318600 510105510611 1020211021222 2040422042444 2550527553055 4080844084888 5101055106110 10202110212220 12752637765275 20404220424440 25505275530550 51010551061100 102021102122200