101001212112010 has 96 divisors (see below), whose sum is σ = 212971403443968. Its totient is φ = 33783205831680.

The previous prime is 101001212112001. The next prime is 101001212112011. The reversal of 101001212112010 is 10211212100101.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (101001212112011) 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, 47039802 + ... + 49140058.

It is an arithmetic number, because the mean of its divisors is an integer number (2218452119208).

Almost surely, 2^{101001212112010} is an apocalyptic number.

101001212112010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101001212112010 is an abundant number, since it is smaller than the sum of its proper divisors (111970191331958).

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

101001212112010 is a wasteful number, since it uses less digits than its factorization.

101001212112010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2100676 (or 2100629 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101001212112010 its reverse (10211212100101), we get a palindrome (111212424212111).

The spelling of 101001212112010 in words is "one hundred one trillion, one billion, two hundred twelve million, one hundred twelve thousand, ten".