101002122121020 has 96 divisors (see below), whose sum is σ = 283398009491520. Its totient is φ = 26877529835520.

The previous prime is 101002122121003. The next prime is 101002122121031. The reversal of 101002122121020 is 20121221200101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 181436466 + ... + 181992294.

It is an arithmetic number, because the mean of its divisors is an integer number (2952062598870).

Almost surely, 2^{101002122121020} is an apocalyptic number.

101002122121020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101002122121020 is an abundant number, since it is smaller than the sum of its proper divisors (182395887370500).

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

101002122121020 is a wasteful number, since it uses less digits than its factorization.

101002122121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562175 (or 562173 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101002122121020 its reverse (20121221200101), we get a palindrome (121123343321121).

The spelling of 101002122121020 in words is "one hundred one trillion, two billion, one hundred twenty-two million, one hundred twenty-one thousand, twenty".