102101121012 has 24 divisors (see below), whose sum is σ = 259893762912. Its totient is φ = 30939733600.

The previous prime is 102101121011. The next prime is 102101121037. The reversal of 102101121012 is 210121101201.

It is a super-3 number, since 3×102101121012³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102101121011) 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, 386746539 + ... + 386746802.

It is an arithmetic number, because the mean of its divisors is an integer number (10828906788).

Almost surely, 2^102101121012 is an apocalyptic number.

102101121012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102101121012 is an abundant number, since it is smaller than the sum of its proper divisors (157792641900).

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

102101121012 is a wasteful number, since it uses less digits than its factorization.

102101121012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 773493359 (or 773493357 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 102101121012 its reverse (210121101201), we get a palindrome (312222222213).

The spelling of 102101121012 in words is "one hundred two billion, one hundred one million, one hundred twenty-one thousand, twelve".