101121221212002 has 24 divisors (see below), whose sum is σ = 219098181591900. Its totient is φ = 33706734922080.

The previous prime is 101121221211971. The next prime is 101121221212003. The reversal of 101121221212002 is 200212122121101.

101121221212002 is a `hidden beast` number, since 101 + 121 + 221 + 21 + 200 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 98966464379721 + 2154756832281 = 9948189^2 + 1467909^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (101121221212003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26390877 + ... + 29978672.

Almost surely, 2^{101121221212002} is an apocalyptic number.

101121221212002 is an abundant number, since it is smaller than the sum of its proper divisors (117976960379898).

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

101121221212002 is a wasteful number, since it uses less digits than its factorization.

101121221212002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56469218 (or 56469215 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 101121221212002 its reverse (200212122121101), we get a palindrome (301333343333103).

Subtracting 101121221212002 from its reverse (200212122121101), we obtain a palindrome (99090900909099).

The spelling of 101121221212002 in words is "one hundred one trillion, one hundred twenty-one billion, two hundred twenty-one million, two hundred twelve thousand, two".