101022011121020 has 48 divisors (see below), whose sum is σ = 231475159829088. Its totient is φ = 36728464680960.

The previous prime is 101022011121011. The next prime is 101022011121029. The reversal of 101022011121020 is 20121110220101.

It is an interprime number because it is at equal distance from previous prime (101022011121011) and next prime (101022011121029).

It is a junction number, because it is equal to n+sod(n) for n = 101022011120986 and 101022011121004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101022011121029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41386409 + ... + 43759328.

It is an arithmetic number, because the mean of its divisors is an integer number (4822399163106).

Almost surely, 2^{101022011121020} is an apocalyptic number.

101022011121020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101022011121020 is an abundant number, since it is smaller than the sum of its proper divisors (130453148708068).

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

101022011121020 is a wasteful number, since it uses less digits than its factorization.

101022011121020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85151150 (or 85151148 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101022011121020 its reverse (20121110220101), we get a palindrome (121143121341121).

The spelling of 101022011121020 in words is "one hundred one trillion, twenty-two billion, eleven million, one hundred twenty-one thousand, twenty".