101022121211020 has 24 divisors (see below), whose sum is σ = 215134432779168. Its totient is φ = 39839709772800.

The previous prime is 101022121211003. The next prime is 101022121211027. The reversal of 101022121211020 is 20112121220101.

It is a junction number, because it is equal to n+sod(n) for n = 101022121210985 and 101022121211003.

It is not an unprimeable number, because it can be changed into a prime (101022121211027) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35571168021 + ... + 35571170860.

It is an arithmetic number, because the mean of its divisors is an integer number (8963934699132).

Almost surely, 2^{101022121211020} is an apocalyptic number.

101022121211020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101022121211020 is an abundant number, since it is smaller than the sum of its proper divisors (114112311568148).

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

101022121211020 is a wasteful number, since it uses less digits than its factorization.

101022121211020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71142338961 (or 71142338959 counting only the distinct ones).

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

Adding to 101022121211020 its reverse (20112121220101), we get a palindrome (121134242431121).

The spelling of 101022121211020 in words is "one hundred one trillion, twenty-two billion, one hundred twenty-one million, two hundred eleven thousand, twenty".