101010212100 has 324 divisors, whose sum is σ = 376874722224. Its totient is φ = 22550693760.

The previous prime is 101010212099. The next prime is 101010212101. The reversal of 101010212100 is 1212010101.

It is a happy number.

101010212100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (101010212099) and next prime (101010212101).

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

It is not an unprimeable number, because it can be changed into a prime (101010212101) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1869667 + ... + 1922933.

Almost surely, 2^101010212100 is an apocalyptic number.

101010212100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101010212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188437361112).

101010212100 is an abundant number, since it is smaller than the sum of its proper divisors (275864510124).

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

101010212100 is a wasteful number, since it uses less digits than its factorization.

101010212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53344 (or 53327 counting only the distinct ones).

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

Adding to 101010212100 its reverse (1212010101), we get a palindrome (102222222201).

The spelling of 101010212100 in words is "one hundred one billion, ten million, two hundred twelve thousand, one hundred".