101211012100 has 144 divisors (see below), whose sum is σ = 248593464000. Its totient is φ = 35429184000.

The previous prime is 101211012079. The next prime is 101211012103. The reversal of 101211012100 is 1210112101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (101211012103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11128555 + ... + 11137645.

It is an arithmetic number, because the mean of its divisors is an integer number (1726343500).

Almost surely, 2^101211012100 is an apocalyptic number.

101211012100 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 101211012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124296732000).

101211012100 is an abundant number, since it is smaller than the sum of its proper divisors (147382451900).

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

101211012100 is a wasteful number, since it uses less digits than its factorization.

101211012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9494 (or 9487 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101211012100 its reverse (1210112101), we get a palindrome (102421124201).

It can be divided in two parts, 10121 and 1012100, that multiplied together give a square (10243464100 = 101210²).

The spelling of 101211012100 in words is "one hundred one billion, two hundred eleven million, twelve thousand, one hundred".