101020212211122 has 192 divisors, whose sum is σ = 236426948319744. Its totient is φ = 31090961341440.

The previous prime is 101020212211069. The next prime is 101020212211129. The reversal of 101020212211122 is 221112212020101.

101020212211122 is a `hidden beast` number, since 101 + 0 + 20 + 212 + 211 + 122 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101020212211095 and 101020212211104.

It is not an unprimeable number, because it can be changed into a prime (101020212211129) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1332735328 + ... + 1332811124.

It is an arithmetic number, because the mean of its divisors is an integer number (1231390355832).

Almost surely, 2^{101020212211122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101020212211122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118213474159872).

101020212211122 is an abundant number, since it is smaller than the sum of its proper divisors (135406736108622).

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

101020212211122 is a wasteful number, since it uses less digits than its factorization.

101020212211122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76553 (or 76550 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 101020212211122 its reverse (221112212020101), we get a palindrome (322132424231223).

The spelling of 101020212211122 in words is "one hundred one trillion, twenty billion, two hundred twelve million, two hundred eleven thousand, one hundred twenty-two".