101211212010000 has 100 divisors (see below), whose sum is σ = 326723287293392. Its totient is φ = 26989656528000.

The previous prime is 101211212009989. The next prime is 101211212010011. The reversal of 101211212010000 is 10212112101.

It is an interprime number because it is at equal distance from previous prime (101211212009989) and next prime (101211212010011).

It is a tau number, because it is divible by the number of its divisors (100).

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 19 ways as a sum of consecutive naturals, for example, 1686823534 + ... + 1686883533.

Almost surely, 2^{101211212010000} is an apocalyptic number.

101211212010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101211212010000 is an abundant number, since it is smaller than the sum of its proper divisors (225512075283392).

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

101211212010000 is an equidigital number, since it uses as much as digits as its factorization.

101211212010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3373707098 (or 3373707077 counting only the distinct ones).

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

Adding to 101211212010000 its reverse (10212112101), we get a palindrome (101221424122101).

The spelling of 101211212010000 in words is "one hundred one trillion, two hundred eleven billion, two hundred twelve million, ten thousand".