101211212001020 has 48 divisors (see below), whose sum is σ = 231899055948000. Its totient is φ = 36798780222720.

The previous prime is 101211212000887. The next prime is 101211212001023. The reversal of 101211212001020 is 20100212112101.

It is a junction number, because it is equal to n+sod(n) for n = 101211212000986 and 101211212001004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101211212001023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31573175 + ... + 34630734.

It is an arithmetic number, because the mean of its divisors is an integer number (4831230332250).

Almost surely, 2^{101211212001020} is an apocalyptic number.

101211212001020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101211212001020 is an abundant number, since it is smaller than the sum of its proper divisors (130687843946980).

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

101211212001020 is a wasteful number, since it uses less digits than its factorization.

101211212001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66210878 (or 66210876 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101211212001020 its reverse (20100212112101), we get a palindrome (121311424113121).

The spelling of 101211212001020 in words is "one hundred one trillion, two hundred eleven billion, two hundred twelve million, one thousand, twenty".