101120002121020 has 24 divisors (see below), whose sum is σ = 212360173873344. Its totient is φ = 40446444768576.

The previous prime is 101120002121009. The next prime is 101120002121023. The reversal of 101120002121020 is 20121200021101.

It is a super-3 number, since 3×101120002121020³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101120002121023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 96722052 + ... + 97761931.

It is an arithmetic number, because the mean of its divisors is an integer number (8848340578056).

Almost surely, 2^{101120002121020} is an apocalyptic number.

101120002121020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101120002121020 is an abundant number, since it is smaller than the sum of its proper divisors (111240171752324).

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

101120002121020 is a wasteful number, since it uses less digits than its factorization.

101120002121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194509989 (or 194509987 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 101120002121020 its reverse (20121200021101), we get a palindrome (121241202142121).

The spelling of 101120002121020 in words is "one hundred one trillion, one hundred twenty billion, two million, one hundred twenty-one thousand, twenty".