101002101212100 has 288 divisors, whose sum is σ = 345402323836416. Its totient is φ = 22509110937600.

The previous prime is 101002101212081. The next prime is 101002101212113. The reversal of 101002101212100 is 1212101200101.

101002101212100 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18522514 + ... + 23347113.

It is an arithmetic number, because the mean of its divisors is an integer number (1199313624432).

Almost surely, 2^{101002101212100} is an apocalyptic number.

101002101212100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101002101212100 is an abundant number, since it is smaller than the sum of its proper divisors (244400222624316).

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

101002101212100 is a wasteful number, since it uses less digits than its factorization.

101002101212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41869715 (or 41869708 counting only the distinct ones).

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

Adding to 101002101212100 its reverse (1212101200101), we get a palindrome (102214202412201).

The spelling of 101002101212100 in words is "one hundred one trillion, two billion, one hundred one million, two hundred twelve thousand, one hundred".