101021010112101 has 16 divisors (see below), whose sum is σ = 134764924367808. Its totient is φ = 67312219372800.

The previous prime is 101021010112091. The next prime is 101021010112147. The reversal of 101021010112101 is 101211010120101.

It is not a de Polignac number, because 101021010112101 - 2¹⁸ = 101021009849957 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101021010112181) 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, 345720381 + ... + 346012461.

It is an arithmetic number, because the mean of its divisors is an integer number (8422807772988).

Almost surely, 2^{101021010112101} is an apocalyptic number.

It is an amenable number.

101021010112101 is a deficient number, since it is larger than the sum of its proper divisors (33743914255707).

101021010112101 is a wasteful number, since it uses less digits than its factorization.

101021010112101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351812.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 101021010112101 its reverse (101211010120101), we get a palindrome (202232020232202).

The spelling of 101021010112101 in words is "one hundred one trillion, twenty-one billion, ten million, one hundred twelve thousand, one hundred one".