102101011020 has 72 divisors (see below), whose sum is σ = 309827896560. Its totient is φ = 27216255360.

The previous prime is 102101010959. The next prime is 102101011021. The reversal of 102101011020 is 20110101201.

It is a happy number.

102101011020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×102101011020² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 102101010993 and 102101011011.

It is not an unprimeable number, because it can be changed into a prime (102101011021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 354250 + ... + 574190.

It is an arithmetic number, because the mean of its divisors is an integer number (4303165230).

Almost surely, 2^102101011020 is an apocalyptic number.

102101011020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102101011020 is an abundant number, since it is smaller than the sum of its proper divisors (207726885540).

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

102101011020 is a wasteful number, since it uses less digits than its factorization.

102101011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222535 (or 222530 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 102101011020 its reverse (20110101201), we get a palindrome (122211112221).

The spelling of 102101011020 in words is "one hundred two billion, one hundred one million, eleven thousand, twenty".