101255121132 has 96 divisors (see below), whose sum is σ = 273623857920. Its totient is φ = 28802027520.

The previous prime is 101255121109. The next prime is 101255121167. The reversal of 101255121132 is 231121552101.

It is a super-2 number, since 2×101255121132² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 790948 + ... + 910004.

It is an arithmetic number, because the mean of its divisors is an integer number (2850248520).

Almost surely, 2^101255121132 is an apocalyptic number.

101255121132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101255121132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136811928960).

101255121132 is an abundant number, since it is smaller than the sum of its proper divisors (172368736788).

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

101255121132 is a wasteful number, since it uses less digits than its factorization.

101255121132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119471 (or 119469 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 24.

Adding to 101255121132 its reverse (231121552101), we get a palindrome (332376673233).

The spelling of 101255121132 in words is "one hundred one billion, two hundred fifty-five million, one hundred twenty-one thousand, one hundred thirty-two".