101112012121020 has 24 divisors (see below), whose sum is σ = 283113633939024. Its totient is φ = 26963203232256.

The previous prime is 101112012121019. The next prime is 101112012121031. The reversal of 101112012121020 is 20121210211101.

It is a happy number.

It is a super-2 number, since 2×101112012121020² (a number of 29 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 842600100949 + ... + 842600101068.

It is an arithmetic number, because the mean of its divisors is an integer number (11796401414126).

Almost surely, 2^{101112012121020} is an apocalyptic number.

101112012121020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101112012121020 is an abundant number, since it is smaller than the sum of its proper divisors (182001621818004).

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

101112012121020 is a wasteful number, since it uses less digits than its factorization.

101112012121020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1685200202029 (or 1685200202027 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101112012121020 its reverse (20121210211101), we get a palindrome (121233222332121).

The spelling of 101112012121020 in words is "one hundred one trillion, one hundred twelve billion, twelve million, one hundred twenty-one thousand, twenty".