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101012011122021 = 35910322924195079
BaseRepresentation
bin10110111101111010110001…
…000010100111110101100101
3111020122122122201210011122220
4112331322301002213311211
5101214440044321401041
6554500135521142553
730163606541556606
oct2675726102476545
9436578581704586
10101012011122021
112a204a5399a89a
12b3b497a18aa59
13444951296b77c
141ad301652ddad
15ba284a751d66
hex5bdeb10a7d65

101012011122021 has 32 divisors (see below), whose sum is σ = 138899115264000. Its totient is φ = 65270965140288.

The previous prime is 101012011121993. The next prime is 101012011122031. The reversal of 101012011122021 is 120221110210101.

It is a happy number.

It is not a de Polignac number, because 101012011122021 - 222 = 101012006927717 is a prime.

It is a super-2 number, since 2×1010120111220212 (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 (101012011122031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7922641 + ... + 16272438.

It is an arithmetic number, because the mean of its divisors is an integer number (4340597352000).

Almost surely, 2101012011122021 is an apocalyptic number.

It is an amenable number.

101012011122021 is a deficient number, since it is larger than the sum of its proper divisors (37887104141979).

101012011122021 is a wasteful number, since it uses less digits than its factorization.

101012011122021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24195473.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101012011122021 its reverse (120221110210101), we get a palindrome (221233121332122).

The spelling of 101012011122021 in words is "one hundred one trillion, twelve billion, eleven million, one hundred twenty-two thousand, twenty-one".

Divisors: 1 3 59 103 177 229 309 687 6077 13511 18231 23587 40533 70761 1391633 4174899 24195079 72585237 1427509661 2492093137 4282528983 5540673091 7476279411 16622019273 147033495083 326899712369 441100485249 570689328373 980699137107 1712067985119 33670670374007 101012011122021