101210011120 has 20 divisors (see below), whose sum is σ = 235313276040. Its totient is φ = 40484004416.

The previous prime is 101210011079. The next prime is 101210011121. The reversal of 101210011120 is 21110012101.

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 101210011097 and 101210011106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101210011121) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 632562490 + ... + 632562649.

It is an arithmetic number, because the mean of its divisors is an integer number (11765663802).

Almost surely, 2^101210011120 is an apocalyptic number.

101210011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101210011120 is an abundant number, since it is smaller than the sum of its proper divisors (134103264920).

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

101210011120 is a wasteful number, since it uses less digits than its factorization.

101210011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1265125152 (or 1265125146 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101210011120 its reverse (21110012101), we get a palindrome (122320023221).

The spelling of 101210011120 in words is "one hundred one billion, two hundred ten million, eleven thousand, one hundred twenty".