101211010102000 has 160 divisors (see below), whose sum is σ = 251622340639488. Its totient is φ = 39351225600000.

The previous prime is 101211010101889. The next prime is 101211010102021. The reversal of 101211010102000 is 201010112101.

101211010102000 is digitally balanced in base 3, 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 (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19944730 + ... + 24499270.

Almost surely, 2^{101211010102000} is an apocalyptic number.

101211010102000 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 101211010102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125811170319744).

101211010102000 is an abundant number, since it is smaller than the sum of its proper divisors (150411330537488).

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

101211010102000 is a wasteful number, since it uses less digits than its factorization.

101211010102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4554876 (or 4554860 counting only the distinct ones).

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

Adding to 101211010102000 its reverse (201010112101), we get a palindrome (101412020214101).

The spelling of 101211010102000 in words is "one hundred one trillion, two hundred eleven billion, ten million, one hundred two thousand".