101011211102120 has 32 divisors (see below), whose sum is σ = 247936609069920. Its totient is φ = 36731349491520.

The previous prime is 101011211102099. The next prime is 101011211102141. The reversal of 101011211102120 is 21201112110101.

It is an interprime number because it is at equal distance from previous prime (101011211102099) and next prime (101011211102141).

It is a junction number, because it is equal to n+sod(n) for n = 101011211102095 and 101011211102104.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114785466722 + ... + 114785467601.

It is an arithmetic number, because the mean of its divisors is an integer number (7748019033435).

Almost surely, 2^{101011211102120} is an apocalyptic number.

101011211102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101011211102120 is an abundant number, since it is smaller than the sum of its proper divisors (146925397967800).

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

101011211102120 is a wasteful number, since it uses less digits than its factorization.

101011211102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229570934345 (or 229570934341 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 101011211102120 its reverse (21201112110101), we get a palindrome (122212323212221).

The spelling of 101011211102120 in words is "one hundred one trillion, eleven billion, two hundred eleven million, one hundred two thousand, one hundred twenty".