101211221120020 has 96 divisors (see below), whose sum is σ = 235772119166976. Its totient is φ = 36186839875200.

The previous prime is 101211221119993. The next prime is 101211221120029. The reversal of 101211221120020 is 20021122112101.

It is a super-2 number, since 2×101211221120020² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101211221119976 and 101211221120003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101211221120029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3095242 + ... + 14560321.

It is an arithmetic number, because the mean of its divisors is an integer number (2455959574656).

Almost surely, 2^{101211221120020} is an apocalyptic number.

101211221120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101211221120020 is an abundant number, since it is smaller than the sum of its proper divisors (134560898046956).

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

101211221120020 is a wasteful number, since it uses less digits than its factorization.

101211221120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17656021 (or 17656019 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101211221120020 its reverse (20021122112101), we get a palindrome (121232343232121).

The spelling of 101211221120020 in words is "one hundred one trillion, two hundred eleven billion, two hundred twenty-one million, one hundred twenty thousand, twenty".